Abstract:For an adiscal or monotone regular coisotropic submanifold N of a symplectic manifold I define its Floer homology to be the Floer homology of a certain Lagrangian embedding of N . Given a Hamiltonian isotopy ϕ = (ϕ t ) and a suitable almost complex structure, the corresponding Floer chain complex is generated by the (N, ϕ)-contractible leafwise fixed points. I also outline the construction of a local Floer homology for an arbitrary closed coisotropic submanifold.Results by Floer and Albers about Lagrangian Flo… Show more
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